Hi Tracy and welcome to the board - Just a wee baby at two weeks old! :D
I too am an engineer and will hopefully moving to Perth in Sept (Fingers and legs crossed!). I found a couple of really good websites when I first started looking at jobs.
The best by far was
www.seek.com.au - oodles and oodles of engineering/design jobs but there is also
www.monster.com.au.
Another good place to look would be the Australian Engineering Institute. Don't know there web address but googling it should find it!
Hope this helps
Tim